Algebra, Algebraic Geometry & Combinatorics

Research in pure mathematics includes work in algebra, algebraic geometry and combinatorics. Often, such research crossses boundaries as is the case for many of the faculty members in our department.

picture of a Julia set, in the complex plane

Researchers of Algebra, Algebraic Geometry & Combinatorics

      • Peter Linell profile picture
      • Peter A. Linnell

        Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.

      • Nick Loehr profile picture
      • Nick Loehr

        Professor Loehr conducts research in algebraic combinatorics. His work focuses on the combinatorics of symmetric functions, quasisymmetric functions, lattice paths, and tableau-like structures. These objects encode remarkable algebraic information about group representations, polynomial invariants, and Lie algebras.

      • Gretchen Matthews

        Professor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.

      • Leonardo Mihalcea profile picture
      • Leonardo Mihalcea

        Associate Professor Mihalcea studies classical and quantum intersection rings for flag manifolds and related algebraic varieties, an area combining techniques from Algebraic Geometry, Combinatorics, and Geometric Representation Theory.

      • Daniel Orr profile picture
      • Daniel Orr

        Daniel Orr conducts research in representation theory and algebraic combinatorics.

      • Eyvindur Paisson profile picture
      • Eyvindur Ari Palsson

        Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.

      • Mark Shimozono

        Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.

      • Went Sun profile picture
      • Wenbo Sun

        Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.

      • Eric Ufferman

        Collegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.

      • Joseph Wells  profile picture
      • Joseph Wells

        Dr. Wells thinks about most things related to complex hyperbolic geometry. In particular, he is interested in (non-)arithmetic subgroups of SU(n,1) and, lately, spherical CR-uniformizations of 3-manifolds.

      • Rahul Singh profile picture
      • Rahul Singh

        Dr. Singh's research lies at the intersection of algebraic geometry and combinatorics.